论文标题

关于多个变量的正式功率系列的组成和正确的分配法

On composition and Right Distributive Law for formal power series of multiple variables

论文作者

Bugajewski, Dariusz, Galimberti, Alessia, Maćkowiak, Piotr

论文摘要

在本文的第一部分中,我们证明了在外部序列是一系列一个变量的情况下,在内部序列是一系列多个变量的情况下,正式功率系列的组成是一种必要且充分的条件。第二部分的目的是消除与一个变量的正式功率系列的正确分配法相关的歧义,并在多变量案例中提供该法律的类似物。

In the first part of the paper we prove a necessary and sufficient condition for the existence of the composition of formal power series in the case when the outer series is a series of one variable while the inner one is a series of multiple variables. The aim of the second part is to remove ambiguities connected with the Right Distributive Law for formal power series of one variable as well as to provide analogues of that law in the multivariable case.

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